Rigid bar ABCD is loaded and supported as shown. Steel [E = 30000 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.75 in.² and bar (2) has a cross-sectional area of 0.425 in.². After load P is applied, the strain in bar (1) is found to be 780 μe. Assume L₁=60 in., L₂=90 in., a=40 in., b=40 in., and c=30 in. Determine: (a) the stresses in bars (1) and (2). (b) the vertical deflection vp of point D on the rigid bar. (c) the load P.
Rigid bar ABCD is loaded and supported as shown. Steel [E = 30000 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.75 in.² and bar (2) has a cross-sectional area of 0.425 in.². After load P is applied, the strain in bar (1) is found to be 780 μe. Assume L₁=60 in., L₂=90 in., a=40 in., b=40 in., and c=30 in. Determine: (a) the stresses in bars (1) and (2). (b) the vertical deflection vp of point D on the rigid bar. (c) the load P.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![Rigid bar ABCD is loaded and supported as shown. Steel [E = 30000 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar
(1) has a cross-sectional area of 0.75 in.² and bar (2) has a cross-sectional area of 0.425 in.². After load P is applied, the strain in bar (1)
is found to be 780 µε. Assume L₁=60 in., L₂=90 in., a=40 in., b=40 in., and c=30 in. Determine:
(a) the stresses in bars (1) and (2).
(b) the vertical deflection VD of point D on the rigid bar.
(c) the load P.
A
LI
a
(1)
B
L2
b
(2)
C
C
D
P](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F49ba8e45-54d1-47ac-ac05-43f618238ddb%2F16c66562-8c97-4e9e-92c6-92085ef7effa%2F56fjj5m_processed.png&w=3840&q=75)
Transcribed Image Text:Rigid bar ABCD is loaded and supported as shown. Steel [E = 30000 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar
(1) has a cross-sectional area of 0.75 in.² and bar (2) has a cross-sectional area of 0.425 in.². After load P is applied, the strain in bar (1)
is found to be 780 µε. Assume L₁=60 in., L₂=90 in., a=40 in., b=40 in., and c=30 in. Determine:
(a) the stresses in bars (1) and (2).
(b) the vertical deflection VD of point D on the rigid bar.
(c) the load P.
A
LI
a
(1)
B
L2
b
(2)
C
C
D
P
Transcribed Image Text:Answers:
(a) 6₁
(b) VD =
(c) P=
=
ksi, 02
in.
kips.
=
ksi.
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